{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 73,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.0013624823481349026 29.1315805193674 28.656691155887636 30.614622261450645\n"
     ]
    }
   ],
   "source": [
    "%matplotlib inline\n",
    "import os\n",
    "import cv2\n",
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "\n",
    "a = cv2.imread(\"../../ab.png\")\n",
    "h, w = a.shape[:2]\n",
    "gt = a[:,:w//2]\n",
    "pd = a[:, w//2:]\n",
    "\n",
    "\n",
    "# pd_blurred = cv2.bilateralFilter(pd,2,95,95)\n",
    "# pd_blurred = cv2.medianBlur(pd,3)\n",
    "pd_blurred = cv2.GaussianBlur(pd,(5,5), 0)\n",
    "gt_blurred = cv2.GaussianBlur(gt,(3,3), 0)\n",
    "mseo = ((gt/255. - pd/255.)**2).mean()\n",
    "mse = ((gt/255. - pd_blurred/255.)**2).mean()\n",
    "msegtb = ((gt_blurred/255. - pd_blurred/255.)**2).mean()\n",
    "psnro = 20*np.log10(1/np.sqrt(mseo))\n",
    "psnr = 20*np.log10(1/np.sqrt(mse))\n",
    "psnrgtb = 20*np.log10(1/np.sqrt(msegtb))\n",
    "print(mse, psnro, psnr, psnrgtb)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 57,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/tmp/ipykernel_697504/913283045.py:3: RuntimeWarning: divide by zero encountered in scalar divide\n",
      "  psnr = 20*np.log10(1/np.sqrt(mse))\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<matplotlib.image.AxesImage at 0x7fc954a0fc40>"
      ]
     },
     "execution_count": 57,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "mse = ((gt/255. - gt/255.)**2).mean()\n",
    "psnr = 20*np.log10(1/np.sqrt(mse))\n",
    "mse_map = ((gt/255. - pd/255.)**2).mean(axis=-1)\n",
    "plt.imshow(mse_map)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "nerfstudio",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.8.16"
  },
  "orig_nbformat": 4
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
